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                YY的Treap                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">志向远大的</span><span lang="EN-US"><font face="Times New Roman">YY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小朋友在学完快速排序之后决定学习平衡树，左思右想再加上</span><span lang="EN-US"><font face="Times New Roman">SY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的教唆，</span><span lang="EN-US"><font face="Times New Roman">YY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">决定学习</span><span lang="EN-US"><font face="Times New Roman">Treap</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。友爱教教父</span><span lang="EN-US"><font face="Times New Roman">SY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">如砍瓜切菜般教会了</span><span lang="EN-US"><font face="Times New Roman">YY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小朋友</span><span lang="EN-US"><font face="Times New Roman">Treap</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">（<b style="mso-bidi-font-weight: normal">一种平衡树，通过对每个节点随机分配一个</b></span><span class="word"><b style="mso-bidi-font-weight: normal"><span lang="EN-US"><font face="Times New Roman">priority</font></span></b></span><span class="word"><b style="mso-bidi-font-weight: normal"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，同时保证这棵平衡树关于</span><span lang="EN-US"><font face="Times New Roman">priority</font></span></b></span><span class="word"><b style="mso-bidi-font-weight: normal"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">是一个小根堆以保证效率</span></b></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）。这时候不怎么友爱的</span><span lang="EN-US"><font face="Times New Roman">510</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">跑了出来，他问了</span><span lang="EN-US"><font face="Times New Roman">YY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小朋友一个极不和谐的问题：<b style="mso-bidi-font-weight: normal">怎么求</b></span><b style="mso-bidi-font-weight: normal"><span lang="EN-US"><font face="Times New Roman">Treap</font></span></b><b style="mso-bidi-font-weight: normal"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中两个点之间的路径长度。</span></b><span lang="EN-US"><font face="Times New Roman">YY</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">秒了之后决定把这个问题交给你来做，但只要求出树中两点的</span><span lang="EN-US"><font face="Times New Roman">LCA</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。</span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span lang="EN-US"><o:p><font face="Times New Roman" size="3">&nbsp;</font></o:p></span></p>
<p></p></p><hr/><h3>输入格式</h3><p><p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">第一行两个整数</span><span lang="EN-US"><font face="Times New Roman">n</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，</span><span lang="EN-US"><font face="Times New Roman">m</font></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">第二行</span><span lang="EN-US"><font face="Times New Roman">n</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">个整数表示每个元素的</span><span lang="EN-US"><font face="Times New Roman">key</font></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">第三行</span><span lang="EN-US"><font face="Times New Roman">n</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">个整数表示每个元素的</span><span class="word"><span lang="EN-US"><font face="Times New Roman">priority<o:p></o:p></font></span></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">接下</span><span lang="EN-US"><font face="Times New Roman">m</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">行，每行一条命令</span><span lang="EN-US"><o:p></o:p></span></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span class="word"><span lang="EN-US"><font face="Times New Roman">I A B</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，插入一个元素，</span></span><span lang="EN-US"><font face="Times New Roman">key</font></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">为</span><span lang="EN-US"><font face="Times New Roman">A, priority</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">为</span><span lang="EN-US"><font face="Times New Roman">B<o:p></o:p></font></span></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span class="word"><span lang="EN-US"><font face="Times New Roman">D A</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，删除一个元素，</span></span><span lang="EN-US"><font face="Times New Roman">key</font></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">为</span><span lang="EN-US"><font face="Times New Roman">A<o:p></o:p></font></span></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span class="word"><span lang="EN-US"><font face="Times New Roman">Q A B</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，询问</span><span lang="EN-US"><font face="Times New Roman">key</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">分别为</span><span lang="EN-US"><font face="Times New Roman">A</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</span><span lang="EN-US"><font face="Times New Roman">B</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的</span><span lang="EN-US"><font face="Times New Roman">LCA</font></span></span><span class="word"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的</span><span lang="EN-US"><font face="Times New Roman">key</font></span></span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span lang="EN-US"><o:p><font face="Times New Roman" size="3">&nbsp;</font></o:p></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><b style="mso-bidi-font-weight: normal"><span lang="EN-US"><o:p></o:p></span></b></font></p></p><hr/><h3>输出格式</h3><p><p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">对于每个</span><span lang="EN-US"><font face="Times New Roman">Q</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">输出一个整数。</span></font></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span lang="EN-US"><o:p><font face="Times New Roman" size="3">&nbsp;</font></o:p></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><font size="3"><b style="mso-bidi-font-weight: normal"><span lang="EN-US"><o:p></o:p></span></b></font></p></p><hr/><h3>样例输入</h3><pre>2 2

1 2

4 5

Q 1 2

I 3 3

 

 

</pre><hr/><h3>样例输出</h3><pre>
1
</pre><hr/><h3>提示</h3><p><p><br />
数据保证n&lt;=10^5,m&lt;=3*10^5</p>
<p>其余整数均不超过long的范围</p>
<p>数据保证任意时刻树中key和priority均不相同<br />
</p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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